Joseph Hoisington, Max Planck Institute for Mathematics

Title: Energy-minimizing mappings of complex projective spaces

Abstract: We will show that, in all homotopy classes of mappings from complex projective spaces to Riemannian manifolds, the infimum of the energy is proportional to the infimal area in the class of mappings of the 2-sphere which represents the induced homomorphism on the second homotopy group. We will also discuss some background and related results from the theory of harmonic maps.